Math with Professor V Courses

What Is the Gradient - Gradient and Directional Derivative Explained for Multivariable Calculus

Master the gradient as a generalized derivative for multivariable functions, finding steepest increase directions, maximum rates of change, and normal vectors to surfaces.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Tricky Improper Integral with a Discontinuity - Calculus 2

Master improper integrals with discontinuities by learning to split at break points, set up proper limits, and evaluate step-by-step for Calculus 2 exam success.

• YouTube
• 10 minutes
• Self-Paced
• Free Video

Graphing Rational Functions Step by Step - AP Precalculus Review

Master graphing rational functions through factoring, finding asymptotes, intercepts, and analyzing behavior for confident sketching in AP Precalculus.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Why Lagrange Multipliers Work - The Real Meaning Behind ∇f = λ∇g

Uncover the geometric intuition behind Lagrange multipliers through mountain-trail analogies, exploring why gradients become parallel at constrained extrema and mastering step-by-step problem solving.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Multivariable Limits - Calculus 3 Strategy and Examples

Master multivariable limits with 9 step-by-step examples and proven strategies to tackle these challenging Calculus 3 problems with confidence and clarity.

• YouTube
• 36 minutes
• Self-Paced
• Free Video

Calculus 1 Exam 2 Walkthrough - Differentiation, Related Rates, Growth Models and More

Master key Calculus 1 concepts through a complete exam walkthrough covering differentiation rules, related rates, linearization, exponential growth models, and trigonometric limits.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Implicit Differentiation Demystified - Calculus 1 - The Chain Rule You've Been Using All Along

Master implicit differentiation by understanding it's just the chain rule applied when y depends on x, with step-by-step examples and solving techniques.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Calculus 2 Review - Integration Techniques and Approximation Rules

Master integration techniques and approximation rules through this comprehensive Calc 2 review covering Simpson's, Midpoint, and Trapezoidal Rules with practice problems.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Calculus 3 Exam 1 Walkthrough - Vectors, Planes, Quadric Surfaces and TNB Frame

Master multivariable calculus exam techniques through a rapid 37-minute walkthrough covering vectors, dot/cross products, line/plane equations, quadric surfaces, and TNB frames.

• YouTube
• 37 minutes
• Self-Paced
• Free Video

Squeeze Theorem Explained - Limits Made Easy for Calculus and AP Exam

Master the Squeeze Theorem with step-by-step examples for both constant and infinity limits, building confidence for Calculus 1 and AP exam success.

• YouTube
• 17 minutes
• Self-Paced
• Free Video

AP Calculus Unit 1 Review Examples - Limits and Continuity Practice for AB/BC Exam Prep

Master limits and continuity through AP-style practice problems covering algebraic evaluation, one-sided limits, vertical asymptotes, function continuity, and trigonometric limits.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

Solving Linear Equations - Bridging the Gap from Precalculus to Calculus - Lecture 1.1

Master linear equation solving techniques to build essential algebra foundations for calculus success.

• YouTube
• 19 minutes
• Self-Paced
• Free Video

Slopes and 3 Forms for Lines - Bridging the Gap from Precalculus to Calculus - Lecture 1.3

Master slope concepts and three essential linear equation forms to strengthen your algebra foundation for calculus success.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

Plotting in the Cartesian Plane - Bridging the Gap from Precalculus to Calculus - Lecture 1.2

Master the Cartesian coordinate system by learning to label axes, interpret ordered pairs, understand quadrants, and accurately plot points in all four quadrants.

• YouTube
• 13 minutes
• Self-Paced
• Free Video

Linear Differential Equations Made Simple - Using an Integrating Factor - Part 1

Master first-order linear differential equations using the integrating factor method through step-by-step examples and clear explanations for confident problem-solving.

• YouTube
• 31 minutes
• Self-Paced
• Free Video